Boundedness of the maximal operator in the local Morrey-Lorentz spaces

WOS: 000323664200006In this paper we define a new class of functions called local Morrey-Lorentz spaces M-p,q;lambda(loc)(R-n), 0 1, the space M-p,q;lambda(loc) (R-n) is trivial, and in the limiting case lambda = 1, the space M-p,q;1(loc) (R-n) is the classical Lorentz space Lambda (infinity,t1/p - 1/q) (R-n). We show that for 0 < q <= p < infinity and 0 < lambda <= q/p, the local Morrey-Lorentz spaces M-p,q;lambda(loc) (R-n) are equal to weak Lebesgue spaces WL1/p-lambda/q (R-n). We get an embedding between local Morrey-Lorentz spaces and Lorentz-Morrey spaces. Furthermore, we obtain the boundedness of the maximal operator in the local Morrey-Lorentz spaces.Turkish Scientific and Technological Research Council (TUBITAK)Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK) [2211]; Ahi Evran University Scientific Research ProjectsAhi Evran University [PYO.FEN.4001.12.18]C Aykol was partially supported by the Turkish Scientific and Technological Research Council (TUBITAK, programme 2211). The research of VS Guliyev was supported by the grant of Ahi Evran University Scientific Research Projects (PYO.FEN.4001.12.18)

‘Better late than never’: the interplay between green technology and age for firm growth

This paper investigates the relationship between green/non-green technologies and firm growth. By combining the literature on eco-innovations, industrial organisation and entrepreneurial studies, we examine the dependence of this relationship on the pace at which firms grow and the age of the firm. From a dataset of 5498 manufacturing firms in Italy for the period of 2000–2008, longitudinal fixed effects quantile models are estimated, in which the firm’s age is set to moderate the effects of green and non-green patents on employment growth. We find that the positive effect of green technologies on growth is greater than that of non-green technologies. However, this result does not apply to struggling and rapidly growing firms. With fast-growing (above the median) firms, age moderates the growth effect of green technologies. Inconsistent with the extant literature, this moderation effect is positive: firm experience appears important for the growth benefits of green technologies, possibly relative to the complexity of their management